Sums of generalized third-order Jacobsthal numbers by matrix methods

In this paper, we consider a certain third-order linear recurrence and then give generating matrices for the sums of positively and negatively subscripted terms of this recurrence. Further, we use matrix methods and derive explicit formulas for these sums.

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Publication Details

Journal
Trends in Computational and Applied Mathematics
Published
2025-09-03
DOI
https://doi.org/10.5540/tcam.2025.026.e01817
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
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article

Sums of generalized third-order Jacobsthal numbers by matrix methods

Gamaliel Cerda-Morales
Trends in Computational and Applied Mathematics
Advanced Mathematical Theories and Applications
article

Sums of generalized third-order Jacobsthal numbers by matrix methods

Gamaliel Cerda-Morales
article en

Abstract

In this paper, we consider a certain third-order linear recurrence and then give generating matrices for the sums of positively and negatively subscripted terms of this recurrence. Further, we use matrix methods and derive explicit formulas for these sums.

Trends in Computational and Applied MathematicsVol. 26(1)
Pontificia Universidad Católica de Valparaíso (CL)
Openalex Percentile: Top 68%
Advanced Mathematical Theories and Applications
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Sums of generalized third-order Jacobsthal numbers by matrix methods — Gamaliel Cerda-Morales · Trends in Computational and Applied Mathematics (2025) | TGRS Research Map | TGRS